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Finding the Third Proportional to 1,287,532.13 and 1,990,478.81

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Solution

The third proportional to 1,287,532.13 and 1,990,478.81 is: 3,077,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,532.13 : 1,990,478.81 = 1,990,478.81 : x
  2. Step 2: Convert to fraction form
    1,287,532.13/1,990,478.81 = 1,990,478.81/x
  3. Step 3: Cross multiply
    1,287,532.13x = 1,990,478.81 × 1,990,478.81
  4. Step 4: Simplify right side
    1,287,532.13x = 3,962,005,903,011.41
  5. Step 5: Solve for x
    x = 3,962,005,903,011.41/1,287,532.13
  6. Step 6: Final answer
    x = 3,077,209.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.